Author(s): Buzzi, Claudio A. [UNESP] ; Llibre, Jaume ; Pazim, Rubens
Date: 2020
Persistent ID: http://hdl.handle.net/11449/199866
Origin: Oasisbr
Subject(s): Euler equations on so(4); periodic orbits; reversible systems; Euler equations on so(4); Euler equations on so(4); periodic orbits; periodic orbits; reversible systems; reversible systems
Made available in DSpace on 2020-12-12T01:51:26Z (GMT). No. of bitstreams: 0 Previous issue date: 2020-04-02
This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in (Formula presented.). We prove that this differential system has four 3-dimensional invariant manifolds and we give a complete description of its dynamics on these invariant manifolds. In particular, each of these invariant manifolds are fulfilled by periodic orbits except in a zero Lebesgue measure set.
Departamento de Matemática IBILCE–UNESP Universidade Estadual Paulista
Departament de Matemàtiques Universitat Autònoma de Barcelona
Instituto de Ciências Naturais Humanas e Sociais Universidade Federal de Mato Grosso
Departamento de Matemática IBILCE–UNESP Universidade Estadual Paulista
